Answer:
The percent of interest is 12.3% per year
Step-by-step explanation:
According to the question Elwood invested 5000 $ in market account
The market account gives the compound interest annually
let p be the interest per year then
At the end of 1st year
amount =(1+0.p) x 5000 = 1.p x 5000
similarly at the end of 2nd year
amount =(1+0.p) x(1+0.p)x 5000 = [tex](1.p)^{2}[/tex] x 5000
similarly at the end of 3rd year
amount = 7100 $ = [tex](1.p)^3[/tex] x 5000
⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]
1.392 = [tex](1.p)^3[/tex]
on further solving we get
1.p = [tex](1.42)^{1/3}[/tex] = 1.123
thus 1.p = 1 + 0.p = 1.123
thus p = 0.123
thus the percent of interest is 12.3% per year
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
i have to make an expression that has a value of 10 out of the numbers 5,2,1,1 and the format it has to go in is like ( - )+( x )=10 help me please
Answer:
(1-1)+(5×2)
hope this helps you
rectangle
rhombus
square
isosceles trapezoid
Answer:
Rhombus
Step-by-step explanation:
It does not have congruent diagonals
Estimate the product/quotation of the problem below
724÷87
Eight less than four times a number
a) 4x−8
b) 8−4x
c) 4(x−8)
d) 4(8−x)
Answer:
a is the answer hope it helps
which of the following is a solution to the linear function y = 4/5x+7
which of the following represents the solution to the equation 4x-2=10
Answer:
x = 3
Step-by-step explanation:
If you move -2 to the right side of the equation, you get:
4x = 12
Divide both sides by 4, and you get:
x = 3.
Someone pls help what would this slope be ?
Answer:
-3/5x
Step-by-step explanation:
It is a negative slope and use rise over run
The probability of getting a 6 is 4/5. The dice is rolled 500 times How many sixes would you expect to roll
Answer: 400
Step-by-step explanation:
From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.
The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled
= 4/5 × 500
= 400
There'll be 400 sixes.
does 18/24 and 15/20 form a proportion
Answer: yes
Step-by-step explanation:
when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent
please help asap! (question in the picture)
Use the elimination method to solve the system of equations. Choose the correct ordered pair
- 3y = x - 5
x + 5y = 7
A. (- 1, 2)
B. (2, 1)
c. (5, 0)
d. (- 4, 3)
Answer:
B
Step-by-step explanation:
Answer: B (2,1)
Step-by-step explanation:
Dawn has been using two bank accounts to save money for a car. The difference between account 1 and account 2 is $100. If she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000. Solve the system of equations to find the total amount of money Dawn has in each account.
A – B = 100
Three-eighthsA + Seven-eighthsB = 2,000
Dawn has $
in account 1 and $
in account 2.
Answer:
dawn has $ 1,670 in account 1 and $ 1,570 in account 2
Step-by-step explanation:
Answer:
1,670 in account 1 ; 1,570 account 2
Step-by-step explanation:
1x - 1y = 100 X=7 7x-7y= 700
3/8x + 7/8y= 2000 X=8 3x+7y= 16000
10x = 16700
I need help if you can that would be great thank you
Answer:
Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Step-by-step explanation:
We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.
Solving:
[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]
We can write it as:
[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]
Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]
[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]
Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same
[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]
So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
The cost of renting a canoe to use on River Y costs $. The cost of renting a canoe to use on River Z costs $ per hour plus a $ deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
You have to rent a canoe for___hours for the cost to be the same.
Answer:
7 hours
Step-by-step explanation:
which is 1/3 - 1/6 in a fraction
Answer:
Step-by-step explanation:
1/3 - 1/6
2/6 -1/6= 1/6
find common denominator
For [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex] the fraction will be [tex]\dfrac{1}{6}[/tex] .
Given to us,
[tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]
To solve this, firstly we need to make the denominators the same, thus taking the LCM of both 3 and 6.
As we know the LCM of 3 and 6 is 6 itself.
So, multiplying and dividing by 2.
[tex]\dfrac{1}{3}\rightarrow \dfrac{1\times 2}{3\times 2}\rightarrow \dfrac{2}{6}[/tex]
Now,
[tex]\dfrac{2}{6}-\dfrac{1}{6} = \dfrac{1}{6}[/tex]
Hence, for [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex] the fraction will be [tex]\dfrac{1}{6}[/tex] .
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help me fast for brainiest!
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPP MEEEEEEEEEEE
The table below shows measurement conversions between cups and ounces.
1 .Let x represent the number of cups and y represent the number of ounces. Write an equation that represents this relationship.
Answer: y = 8x
3 x 8 = 24
5 x 8 = 40
8 x 8 = 64
8+8-8+16=
BAHHAHAHAHA
Answer: 24
Step-by-step explanation: thanks
What is the area of a circle with a radius of 5 cm?
Answer:
area of circle = 78.55 cm²
Step-by-step explanation:
area of circle
= πr²
= 3.142 × 5²
= 3.142 × 25
= 78.55 cm²
Which expression is equivalent to 2^5(4×+9)
Answer:
128x + 288
Step-by-step explanation:
Given the expression 2^5(4×+9)
on factoring
2^5(4×+9) = 2^5(4x) + 2^5(9)
2^5(4×+9) = 32(4x) + 32(9)
2^5(4×+9) = 128x + 288
Hence the expression is also equivalent to 128x + 288
Find the area of a parallelogram ABCD with AB =7 m. AD = 20 m and BAD = 62°.
9514 1404 393
Answer:
123.6 m²
Step-by-step explanation:
The area is given by the formula ...
A = (AB)(AD)sin(∠A)
A = (7 m)(20 m)sin(62°) ≈ 123.6 m²
Help me with my math for brainiest:)
Answer:
Here you go! Hope it helps!
Step-by-step explanation:
Answer:
1) m= 12/7
2) k= - 81/16
Answer:
1. 1 5/7
2. -5 1/16
Step-by-step explanation:
1. Solve for M by simplifying both sides of the equation then isolationg the variable.
2. Solve for K by simplifying both sides of the equation then isolationg the variable.
There are 12 boxes of books to put on shelves can you spell it has 31 bucks each shelf holds 18 books Kevin estimates he will need 20 shells for all the books
need help fast !!!!!
Answer:
G(x) = 18
Step-by-step explanation:
first you add x on both sides (-7+x=11)
then you add 7 on both sides and end up with (x=18)
Which set of numbers describe the side length of a right triangle
Answer: 3,4,5
Step-by-step explanation:
5² = 3² + 4²
25 = 9 + 16
25 = 25
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Set of numbers:
1, 2, 3
2, 3, 4
3, 4, 5
4, 5, 6
We need to find the set of numbers that describe the side length of a right triangle.
We will apply the Pythagorean theorem to all the sets of numbers.
Using 1,2,3.
1² = 2² + 3²
1 = 4 + 9
1 = 13
2² = 1² + 3²
4 = 1 + 9
4 = 10
3² = 1² + 2²
9 = 1 + 4
9 = 5
This is not true.
Similarly,
Set of numbers: 2,3,4 and 4,5,6 are not true.
Using 3, 4, 5
5² = 3² + 4²
25 = 9 + 16
25 = 25
This is true.
Thus,
The set of numbers 3, 4, and 5 describe the side length of a right triangle.
Option C is the correct answer.
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What is the area of a square with a side length of 7 feet?
Please help! The help would be much appreciated
Answer:
The area of square is 49 feet²
Step-by-step explanation:
Length of side of square = 7 feet
We need to find area of square.
The formula used to find area of square is:
[tex]Area\:of\:Square=Length\times Length[/tex]
Putting values and finding area of square.
[tex]Area\:of\:Square=Length\times Length\\Put\:Length=7\\Area\:of\:Square=7\times 7\\Area\:of\:Square= 49[/tex]
So, area of square is 49 feet²
What are three ways a seed can be taken from one place to another?
Answer:
The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.
Step-by-step explanation:
Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.
Answer:
Seeds with wings
Hitchhikers
Going with the flow
help from animals
Step-by-step explanation:
34. HOME What's the Error? Nathan says
that Madison Square Garden is located
at (0,3) on the map. Is his ordered pair
correct? Explain.
I NEED HELP ASAP PLEASE
ok b makes more sense
Step-by-step explanation:
I need help please it’s my hrw
Answer:
Blank 1: 28
Blank 2: 42
Blank 3: 22
Answer: It will take 7 sessions.
Step-by-step explanation:
We already know the 3 blanks from the equation 28x = 42 + 22x
Now to find the answer.
28x = 42 + 22x
Subtract 22x from both sides. This cancels the +22x.
28x - 22x = 42
Subtract 22x from 28x to get 6x
6x = 42
Divide both sides by 6. This undoes the multiplication by 6.
x = 42/6
Divide 42 by 6 to get 7.
x = 7
It will take 7 sessions for the costs to match.
Answer:
[28], [42], [22], the meet at 154 sessions
Step-by-step explanation: